Algebraic Geometry

A topic within Geometry, itself one of 11 topics in that field and part of Mathematics.

Reading on Algebraic Geometry

2 works

Book1988

Undergraduate Algebraic Geometry

Miles Reid

Introduces algebraic geometry through explicit plane curves and projective varieties before any scheme-theoretic machinery, arguing the classical objects are worth understanding concretely first.

link failing as of 17 Sept 2026Notes on this copy

Mathematics · Geometry

FreeIntermediate

Book2024

The Rising Sea: Foundations of Algebraic Geometry

Ravi Vakil

Rebuilds algebraic geometry around category-theoretic and sheaf-theoretic foundations from the first page, arguing scheme theory becomes natural once the reader has the right categorical vocabulary.

link checked 17 Sept 2026Notes on this copy

Mathematics · Geometry

FreeAdvanced

Reading on Algebraic Geometry

Undergraduate Algebraic Geometry

The Rising Sea: Foundations of Algebraic Geometry

Other topics in Geometry